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Finding the Third Proportional to 9,272 and 19,084

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Solution

The third proportional to 9,272 and 19,084 is: 39,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272 : 19,084 = 19,084 : x
  2. Step 2: Convert to fraction form
    9,272/19,084 = 19,084/x
  3. Step 3: Cross multiply
    9,272x = 19,084 × 19,084
  4. Step 4: Simplify right side
    9,272x = 364,199,056
  5. Step 5: Solve for x
    x = 364,199,056/9,272
  6. Step 6: Final answer
    x = 39,279.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.